What is the Least Common Multiple of 77955 and 77959?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 77955 and 77959 is 6077293845.
LCM(77955,77959) = 6077293845
Least Common Multiple of 77955 and 77959 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77955 and 77959, than apply into the LCM equation.
GCF(77955,77959) = 1
LCM(77955,77959) = ( 77955 × 77959) / 1
LCM(77955,77959) = 6077293845 / 1
LCM(77955,77959) = 6077293845
Least Common Multiple (LCM) of 77955 and 77959 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77955 and 77959. First we will calculate the prime factors of 77955 and 77959.
Prime Factorization of 77955
Prime factors of 77955 are 3, 5, 5197. Prime factorization of 77955 in exponential form is:
77955 = 31 × 51 × 51971
Prime Factorization of 77959
Prime factors of 77959 are 7, 37, 43. Prime factorization of 77959 in exponential form is:
77959 = 72 × 371 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 77955 and 77959.
LCM(77955,77959) = 31 × 51 × 51971 × 72 × 371 × 431
LCM(77955,77959) = 6077293845
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